Analysis of the Localization of Damage and the Complete Stress-Strain Relation for Mesoscopic Heterogeneous Rock Under Uniaxial Tensile Loading

ZHOU Xiao-ping; WANG Jian-hua; ZHANG Yong-xing; HA Qiu-ling

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(9): 943-950

ZHOU Xiao-ping, WANG Jian-hua, ZHANG Yong-xing, HA Qiu-ling. Analysis of the Localization of Damage and the Complete Stress-Strain Relation for Mesoscopic Heterogeneous Rock Under Uniaxial Tensile Loading[J]. Applied Mathematics and Mechanics, 2004, 25(9): 943-950.

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Analysis of the Localization of Damage and the Complete Stress-Strain Relation for Mesoscopic Heterogeneous Rock Under Uniaxial Tensile Loading

1.
School of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China;

Received Date: 2002-07-15
Rev Recd Date: 2004-03-15
Publish Date: 2004-09-15

Abstract

Abstract

The mechanical behavior of rock under uniaxial tensile loading is different from that of rock under compressive loads.A micromechanics-based model was proposed for mesoscopic heterogeneous brittle rock undergoing irreversible changes of their microscopic structures due to microcrack growth.The complete stress-strain relation including linear elasticity,nonlinear hardening,rapid stress drop and strain softening was obtained.The influence of all microcracks with different sizes and orientations were introduced into the constitutive relation by using the probability density function describing the distribution of orientations and the probability density function describing the distribution of sizes.The influence of Weibull distribution describing the distribution of orientations and Rayleigh function describing the distribution of sizes on the constitutive relation were researched.Theoretical predictions have shown to be consistent with the experimental results.
- uniaxial tensile loading,
- mesoscopic heterogeneous rock,
- localization of damage and deformation,
- complete stress-strain relation

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References(11)

References

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